Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean

  title={Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean},
  author={Yuming Chu and Tie-hong Zhao},
  journal={Journal of Inequalities and Applications},
  • Y. Chu, Tie-hong Zhao
  • Published 15 December 2015
  • Mathematics
  • Journal of Inequalities and Applications
In this paper, the authors present necessary and sufficient conditions for the complete elliptic integrals of the first and second kind to be convex or concave with respect to the Lehmer mean. 
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